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The (2,3)-generation of the classical simple groups of dimension 6 and 7

2015/03/24 by Pellegrini, Marco Antonio
#20F05 #20G40 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1503.07056

Abstract

In this paper we prove that the finite simple groups PSp6(q), Ω7(q) and PSU7(q2) are (2,3)-generated for all q. In particular, this result completes the classification of the (2,3)-generated finite classical simple groups up to dimension 7.

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